Bifurcations of planar Hamiltonian systems with impulsive perturbation

2011/10/28 by Zhaoping Hu, Maoan Han, Hu, Zhaoping +3
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Quantum chaos and dynamical systems #math.CA

paper · pdf · doi:10.48550/arxiv.1110.6358

This paper was submitted to Nonlinear Analysis: Theory, Methods & Applications

arxiv created 2011/10/28 · openalex publication_date 2011/10/28 · arxiv updated 2011/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, by means of the Melnikov functions we consider bifurcations of harmonic or subharmonic solutions from a periodic solution of a planar Hamiltonian system under impulsive perturbation. We give some sufficient conditions under which a harmonic or subharmonic solution exists.

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